3D shape measurement system based on fringe projection in 4-step phase shifting

Shang Zhong-yi; Li Wei-xian; Dong Ming-li; Duan Liang-jun

doi:10.5768/JAO201536.0403005

Journal of Applied Optics > 2015 > 36(4): 584-589. > DOI: 10.5768/JAO201536.0403005

Shang Zhong-yi, Li Wei-xian, Dong Ming-li, Duan Liang-jun. 3D shape measurement system based on fringe projection in 4-step phase shifting[J]. Journal of Applied Optics, 2015, 36(4): 584-589. DOI: 10.5768/JAO201536.0403005

Citation:

PDF (1104 KB)

3D shape measurement system based on fringe projection in 4-step phase shifting

Beijing Key Laboratory for Optoelectronic Measurement Technology,Beijing InformationScience and Technology University,Beijing 100192,China

More Information

Graphical Abstract

Abstract

Abstract

In order to achieve the measurement of objects with significant jumping surface profile,a three-dimensional shape measurement system based on fringe projection in four-step phase shifting was established and the adopted four-step phase-shift measurement algorithm was studied. After introducing the principle of four-step phase shifting, a measurement algorithm for the apparent jumping faces was established, by taking a triangular pyramid rubber with significant jump faces for example. Firstly, the average gray image was calculated through a sum of the four phase shifting images and divided by four. Secondly,the binaryzation of average gray image was processed to position the obvious jumping surface or shadows. Last but not least, the convolution of binary image with wrapped phase map was done and then the wrapped phase map was unwrapped to get the correct continuous phase and reconstruct the 3D shape of the object. Experiments were taken to calculate the volume of the triangular pyramid rubber by shape measurement with the proposed algorithm. Experimental results show that the mean precision of volume measurement is 0.47%, which proves the effectiveness of the proposed algorithm and its good precision.
- four-step phase shifting,
- significant jumping surface,
- fringe projection,
- 3D shape measurement,
- unwrapping

FullText(HTML)

References (1)

References

[1]DaiI Meiling，Yang Fujun，He Xiaoyuan. 3-D shape measurement of objects with discontinuities by dual-frequency color fringe projection[J].Optics and Precision Engineering,2013,21(1):7-12.
戴美玲, 杨福俊, 何小元. 基于双频彩色光栅投影测量不连续物体三维形貌[J]. 光学精密工程, 2013, 21(1): 7-12.
[2]Zheng Dongliang,Da Feipeng.Double-step hase-shifting algorithm for fringe-projection measurement[J].Acta Optica Sinica, 2012, 32(5): 86-92.
郑东亮, 达飞鹏. 双步相移光栅投影测量轮廓术[J]. 光学学报, 2012, 32(5): 86-92.
[3]Yang Fujun,Geng Min,Dai Meiling, et al.3D shape measurement of discontinuous objects based on single frequency fringe projection in 4-step phase shifting profilemetry[J].Journal of Optoelectronics·laser, 2012, 23(8): 1535-1538.
杨福俊, 耿敏, 戴美玲, 等. 基于单频四步相移条纹投影的不连续物体三维形貌测量[J]. 光电子·激光, 2012, 23(8): 1535-1538.
[4]Huang S, Zhang Z, Zhao Y, et al. 3D fingerprint imaging system based on full-field fringe projection profilometry[J]. Optics and Lasers in Engineering, 2014, 52: 123-130.
[5]Pinit P, Umezaki E. Digitally whole-field analysis of isoclinic parameter in photoelasticity by four-step color phase-shifting technique[J]. Optics and Lasers in Engineering, 2007, 45(7): 795-807.
[6]Pan B, Kemao Q, Huang L, et al. Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry[J]. Optics letters, 2009, 34(4): 416-418.
[7]Huang P S, Zhang S. Fast three-step phase-shifting algorithm[J]. Applied Optics, 2006, 45(21):5086-5091.
[8]Ren Tongqun,Zhao Yuehan,Gong Chunzhong, et al.Unconstrained registration of 3-D scattered point clouds for free-form shape measurement[J]. Optics and Precision Engineering,2013, 21(5): 1234-1243.
任同群, 赵悦含, 龚春忠, 等. 自由曲面测量的三维散乱点云无约束配准[J]. 光学精密工程,2013, 21(5): 1234-1243.
[9]Xie Jieru,Cui Haihua.Study on four-step phase-shifting decoding algorithm for three-dimensional profilometry[J]. Acta Optica Sinica, 2009, 29(2): 370-373.
谢捷如, 崔海华. 面向物体表面测量的四步相移光解码技术研究[J]. 光学学报, 2009, 29(2): 370-373.
[10]Jiang Hongzhi,Zhao Huijie,Liang Xiaoyue, et al. Phase-based stereo matching using epipolar line rectification[J]. Optics and Precision Engineering, 2011, 19(10): 2520-2525.
姜宏志, 赵慧洁, 梁宵月, 等. 基于极线校正的快速相位立体匹配[J]. 光学精密工程, 2011, 19(10): 2520-2525.
[11]Wong Jiawen,Zhong Jingang. Application of gabor transform to 3D shape analysis[J].Acta Photonica Sinica, 200 3, 32(8): 993-996.
翁嘉文, 钟金钢. 加窗傅里叶变换在三维形貌测量中的应用[J]. 光子学报, 2003, 32(8): 993-996.
[12]Sun Ping,Zhang Li,Tao Chunxian.3-D shape measurement with fourier transform based on LCD projector[J]. Acta Photonica Sinica, 2005, 34(8): 1250-1252.
孙平, 张丽, 陶春先. 基于 LCD 数字投影技术的傅里叶变换法测量物体三维形貌[J]. 光子学报, 2005, 34 (8): 1250-1252.
[13]Wu Shuangqing, Zhang Yin, Zhang Sanyuan,et al. Analysis of 3-D measurement system and coordinates calibration in fourier transform profilometry[J]. Acta Optica Sinica, 2009 (10): 2780-2785.
吴双卿, 张引, 张三元, 等. 傅里叶变换轮廓术物体三维形貌测量的系统分析及其坐标校准方法[J]. 光学学报, 2009 (10): 2780-2785.
[14]Wang Luyang　Da Feipeng. 3-D shape measurement technique based on complementary color-encoded fringe projection[J]. Acta Optica Sinica, 2011, 31(6): 106-112.
王露阳, 达飞鹏. 基于互补色编码条纹投影的三维形貌测量方法[J]. 光学学报, 2011, 31(6): 106-112.
[15]Huntley J M, Saldner H. Temporal phase-unwrapping algorithm for automated interferogram analysis[J]. Applied Optics,1993,32(17):3047-3052
[16]Wang Z, Du H, Park S, et al. Three-dimensional shape measurement with a fast and accurate approach[J]. Applied optics, 2009, 48(6): 1052-1061.
[17]Zhang Z Y. A flexible new technique for camera calibration[J], IEEE Trans. Pattern Anal.Mach. Intell,2000,22(11):1330-1334.

Cited By

Cited by

Periodical cited type(21)

1.	赵涵卓，丁宇航，张宗华，王晨，张昂，孟召宗，肖艳军，高楠. 条纹投影测量系统标定方法研究. 河北工业大学学报. 2023(03): 17-28 .
2.	王红平，刘鑫，赵世辰，王宇，王磊. 基于缺失点云的飞机表面锪孔质量检测. 光子学报. 2022(12): 203-215 .
3.	李辰，刘建明，何晴. 一种基于连续相位优化的三维形貌测量方法. 现代电子技术. 2021(05): 61-65 .
4.	胥劲，张启灿，薛俊鹏，刘元坤. 手机屏显靶标用于标定小视场双目三维测量系统. 光学与光电技术. 2021(02): 55-63 .
5.	何景宜，高允珂，刘姗，孙长森. 检测印刷电路板组件的光栅投影镜头设计. 光学与光电技术. 2021(03): 108-114 .
6.	刘洋，潘娅，罗玉琴. 一种逐周期条纹背景自适应去除算法. 计算机测量与控制. 2021(11): 148-153 .
7.	冯维，汤少靖，赵晓冬，赵大兴. 基于自适应条纹的高反光表面三维面形测量方法. 光学学报. 2020(05): 119-127 .
8.	李承杭，薛俊鹏，郎威，张启灿. 基于相位映射的双目视觉缺失点云插补方法. 光学学报. 2020(01): 260-269 .
9.	王晨，张宗华，丁宇航，赵涵卓，张昂，孟召宗，肖艳军，高楠. 基于立体标靶的双目系统标定研究. 光学技术. 2020(03): 322-329 .
10.	张娟娟，沈小渝. 基于三维投影矩阵的生产流水线对接系统平台构建. 食品与机械. 2019(10): 65-69+74 .
11.	陈诚，张宏儒，陈少轩，刘冰，张凯. 直线运动机构三维角误差同步测量方法研究. 仪器仪表学报. 2019(10): 145-151 .
12.	王柳，陈超，高楠，张宗华. 基于自适应条纹投影的高反光物体三维面形测量. 应用光学. 2018(03): 373-378 . 本站查看
13.	顾超，穆平安. 基于面结构光的双目立体匹配算法研究. 电子科技. 2017(01): 16-18+22 .
14.	胡天正，侯少博. 石窟建筑三维数字图像形貌拼接方法优化仿真. 计算机仿真. 2017(12): 250-253+330 .
15.	王静强，刘桂华，赵碧霞，王玉玫. 基于伪随机阵列和正弦光栅的结构光标定. 计算机应用与软件. 2017(12): 116-121 .
16.	张西宁，张海星，吴婷婷. 一种转动容器中磁流体液表面形貌测量方法. 西安交通大学学报. 2017(01): 103-108 .
17.	蒋艳鹏，吴思进，杨连祥. 形貌与微变形全场光学同时测量方法. 应用光学. 2017(01): 67-71 . 本站查看
18.	曾灼环，黄超，屈国丽，伏燕军. 基于二进制条纹加相位编码条纹离焦投影的三维测量方法. 应用光学. 2017(05): 790-797 . 本站查看
19.	王一，刘会艳，宋宝根. 平行光干涉投影三维形貌恢复方法. 应用光学. 2017(05): 798-803 . 本站查看
20.	丁一飞，王永红，胡悦，黄安琪，但西佐. 样本块匹配光栅投影阶梯标定方法. 中国测试. 2016(08): 7-12 .
21.	张湧涛，王祎泽，王一，宋志伟. 电光材料调制误差对平行光束干涉投影的影响. 应用光学. 2016(02): 235-239 . 本站查看

Other cited types(24)

Get Citation

PDF

XML

Article views (1943) PDF downloads (223) Cited by(45)

Turn off MathJax

Article Contents

Abstract

References

3D shape measurement system based on fringe projection in 4-step phase shifting

Abstract

References

Cited by

Periodical cited type(21)

Other cited types(24)

Catalog

Related Databases

Advertising cooperation

Links

Help Center

3D shape measurement system based on fringe projection in 4-step phase shifting

Abstract

References

Cited by

Periodical cited type(21)

Other cited types(24)

Catalog

Related Databases

Advertising cooperation

Links

Help Center

Export File

Citation

Format

Content